Question

calcular: E = sen 30° sen 37° sec 45°sen 60° sen 53° — 1/5 . cos 53°​

Answer 1

☆ RESOLUCIÓN:

$E = sen \: 30° \times sen \: 37° \times sec \: 45° \times sen \: 60° \times sen \: 53° - \frac{1}{5} \times cos \: 53° \\ E = \frac{1}{2} \times \frac{3}{5} \times \sqrt{2} \times \frac{ \sqrt{3} }{2} \times \frac{4}{5} - \frac{1}{5} \times \frac{3}{5} \\ E = \frac{3 \sqrt{6} }{25} - \frac{3}{25} \\ E = \frac{3( \sqrt{6} - 1)}{25} \\  \boxed{E = 0.173939}$

☆ RESPUESTA:

$\boxed{E = 0.173939}$